85561224840 has 768 divisors, whose sum is σ = 364092019200. Its totient is φ = 16920576000.

The previous prime is 85561224839. The next prime is 85561224899. The reversal of 85561224840 is 4842216558.

85561224840 is a `hidden beast` number, since 8 + 5 + 5 + 612 + 24 + 8 + 4 + 0 = 666.

It is a super-2 number, since 2×85561224840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62865760 + ... + 62867120.

It is an arithmetic number, because the mean of its divisors is an integer number (474078150).

Almost surely, 2^85561224840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85561224840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182046009600).

85561224840 is an abundant number, since it is smaller than the sum of its proper divisors (278530794360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85561224840 is a wasteful number, since it uses less digits than its factorization.

85561224840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 85561224840 in words is "eighty-five billion, five hundred sixty-one million, two hundred twenty-four thousand, eight hundred forty".